New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

Yong Chen; Biao Li; Hongqing Zhang

doi:10.1016/j.matcom.2003.10.005

New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

Yong Chen^*
, Biao Li
, Hongqing Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.

Original language	English
Pages (from-to)	549-559
Number of pages	11
Journal	Mathematics and Computers in Simulation
Volume	64
Issue number	5
DOIs	https://doi.org/10.1016/j.matcom.2003.10.005
State	Published - 25 Feb 2004
Externally published	Yes

Keywords

Symbolic computation
Travelling wave solution
mK(m,n) equations

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10.1016/j.matcom.2003.10.005

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title = "New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces",

abstract = "With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.",

keywords = "Symbolic computation, Travelling wave solution, mK(m,n) equations",

author = "Yong Chen and Biao Li and Hongqing Zhang",

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T1 - New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hongqing

PY - 2004/2/25

Y1 - 2004/2/25

N2 - With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.

AB - With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.

KW - Symbolic computation

KW - Travelling wave solution

KW - mK(m,n) equations

UR - https://www.scopus.com/pages/publications/1242298456

U2 - 10.1016/j.matcom.2003.10.005

DO - 10.1016/j.matcom.2003.10.005

M3 - 文章

AN - SCOPUS:1242298456

SN - 0378-4754

VL - 64

SP - 549

EP - 559

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 5

ER -

New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

Abstract

Keywords

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